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On the interplay between the notions of Randers space and gauge invariance

2009/06/10 by Ricardo Gallego Torromé, Torromé, Ricardo Gallego
Mathematics · Physics and Astronomy · #58B20 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Gauge (firearms) #Gauge theory #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #History #Linguistics #Mathematical Physics (math-ph) #Mathematical physics #Mathematics #Philosophy #Physics #Space (punctuation) #Theoretical physics #gr-qc #hep-th #math-ph #math.DG #math.MP #msc:58B20

paper · pdf · doi:10.48550/arxiv.0906.1940

14 pages, minor corrections

openalex publication_date 2009/06/10 · openalex created_date 2020/11/09 · arxiv created 2021/02/22 · arxiv updated 2021/02/23 · openalex updated_date 2026/07/28

Abstract

In this paper we argue that when gauge invariance is taken into consideration, there is no consistent geometric framework of Finsler class that can accommodate Randers type spaces. In this context, an alternative non-Finslerian framework for Randers spacetimes compatible with gauge invariance is introduced.

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